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Ruled surface is widely used in engineering design such as parting surface design of injection mold and checking surface design of checking fixture, which are usually generated by offsetting 3D curves. However, in 3D curve offset, there…

Computational Geometry · Computer Science 2013-03-18 Kun Jiang , Xionghui Zhou , Min Li , Qiang Niu

Additive manufacturing builds physical objects by accumulating layers upon layers of solidified material. This process is typically done with horizontal planar layers. However, fused filament printers have the capability to extrude material…

Graphics · Computer Science 2024-06-07 Emilio Ottonello , Pierre-Alexandre Hugron , Alberto Parmiggiani , Sylvain Lefebvre

Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic that has been the subject of much discussion in mathematics and…

Differential Geometry · Mathematics 2025-02-10 Ferhat Taş , Rushan Ziatdinov

In this paper, we investigate the ruled surfaces generated by a straight line according to rotation minimizing frame (RMF). Using this frame of a straight line, we obtained the necessary and sufficient conditions when the ruled surface is…

Differential Geometry · Mathematics 2014-07-02 Fatma Güler , Emin Kasap

An intuitive design method is proposed for generating developable ruled B-spline surfaces from a sequence of straight line segments indicating the surface shape. The first and last line segments are enforced to be the head and tail ruling…

Graphics · Computer Science 2022-10-14 Zixuan Hu , Pengbo Bo

Many edge and contour detection algorithms give a soft-value as an output and the final binary map is commonly obtained by applying an optimal threshold. In this paper, we propose a novel method to detect image contours from the extracted…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Zahra Mousavi Kouzehkanan , Reshad Hosseini , Babak Nadjar Araabi

In this paper, we define a new type of ruled surface called ruled surface by using the alternative frame of a base curve. Then, we study its differential geometric properties such as striction line, distribution parameter, fundamental…

Differential Geometry · Mathematics 2019-10-16 Burak Sahiner

We describe an algorithm for solving an important geometric problem arising in computer-aided manufacturing. When cutting away a region from a solid piece of material -- such as steel, wood, ceramics, or plastic -- using a rough tool in a…

Computational Geometry · Computer Science 2022-03-08 Mikkel Abrahamsen , Mikkel Thorup

In this paper, we present a new computer-controlled weaving technology that enables the fabrication of woven structures in the shape of given 3D surfaces by using threads in non-traditional materials with high bending-stiffness, allowing…

Graphics · Computer Science 2024-05-09 Xiangjia Chen , Lip M. Lai , Zishun Liu , Chengkai Dai , Isaac C. W. Leung , Charlie C. L. Wang , Yeung Yam

Material extrusion is one of the most commonly used approaches within the additive manufacturing processes available. Despite its popularity and related technical advancements, process reliability and quality assurance remain only partially…

Machine Learning · Computer Science 2024-06-21 Fátima García-Martínez , Diego Carou , Francisco de Arriba-Pérez , Silvia García-Méndez

A ruled surface is a shape swept out by moving a line in 3D space. Due to their simple geometric forms, ruled surfaces have applications in various domains such as architecture and engineering. In the past, various approaches have been…

Graphics · Computer Science 2025-05-08 Yiling Pan , Zhixin Xu , Bin Wang , Bailin Deng

This tutorial describes the geometry and algorithms for generating line drawings from 3D models, focusing on occluding contours. The geometry of occluding contours on meshes and on smooth surfaces is described in detail, together with…

Graphics · Computer Science 2020-02-18 Pierre Bénard , Aaron Hertzmann

State-of-the-art methods for quantifying wear in cylinder liners of large internal combustion engines require disassembly and cutting of the liner. This is followed by laboratory-based high-resolution microscopic surface depth measurement…

Nowadays, high-speed machining is usually used for production of hardened material parts with complex shapes such as dies and molds. In such parts, tool paths generated for bottom machining feature with the conventional parallel plane…

Other Computer Science · Computer Science 2013-07-05 Laurent Tapie , Bernardin Mawussi , Walter Rubio , Benoît Furet

The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to…

Symbolic Computation · Computer Science 2014-10-28 Sonia Perez-Diaza , Liyong Shen

Computing a quasi-developable strip surface bounded by design curves finds wide industrial applications. Existing methods compute discrete surfaces composed of developable lines connecting sampling points on input curves which are not…

Graphics · Computer Science 2022-12-19 Pengbo Bo , Yujian Zheng , Caiming Zhang

This paper introduces an algorithm to generate a 3D extruder path, combining classic planar and non-planar layers to enhance the surface quality and accuracy of complex 3D printed parts. Material extrusion 3D printing, due to its…

Computational Geometry · Computer Science 2024-11-12 Shadman Tajwar Shahid

3D shape models are naturally parameterized using vertices and faces, \ie, composed of polygons forming a surface. However, current 3D learning paradigms for predictive and generative tasks using convolutional neural networks focus on a…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Ayan Sinha , Asim Unmesh , Qixing Huang , Karthik Ramani

In this work, a 2D contour generation algorithm is proposed for irregular regions. The contour of the physical domain is approximated by mesh segments using the known coordinates of the contour. For this purpose, the algorithm uses a…

Recent advances in 3D deep learning have shown that it is possible to train highly effective deep models for 3D shape generation, directly from 2D images. This is particularly interesting since the availability of 3D models is still limited…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Shichen Liu , Shunsuke Saito , Weikai Chen , Hao Li
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